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arXiv · 2503.15028

On the K\"ahler-hyperbolicity of bounded symmetric domains

Young-Jun Choi·Kang-Hyurk Lee·Aeryeong Seo
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Abstract

In this paper, we characterize the K\"ahler-hyperbolicity length of a bounded symmetric domain, defined by its rank and genus, as a unique constant determined by a constant gradient length of a special Bergman potential. Additionally, we establish a characterization of the lower bound of $L^\infty$ norm of the gradient length of any Bergman potential.

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Young-Jun Choi, Kang-Hyurk Lee, Aeryeong Seo. 2025-03-19. On the K\"ahler-hyperbolicity of bounded symmetric domains. https://arxiv.org/abs/2503.15028

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